The Inverse Generalized Eigenvalue Problem for Generalized Centro-anti-symmetric Matrices

被引：0

作者：

Wang, Xiangrong ^{[1
]}

机构：

[1] Cangzhou Teachers Coll, Dept Math, Cangzhou 061001, Hebei, Peoples R China

来源：

ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年

关键词：

generalized centro-anti-symmetric matrix; generalized eigenvalue; inverse problem; SVD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given matrix X, Lambda, find the generalized centro-anti-symmetric matrices solutions A, B of inverse generalized eigenvalue problem AX = BX Lambda. The general expression of solution to the problem is provided. The set of such solutions is denoted by S-[A,S-B]. The optimal approximation problem associated with S-[A,S-B] is posed, that is: to find the nearest triple matrix [A,B] from S-[A,S-B]. The existence and uniqueness of the optimal approximation problem is discussed and the expression is provided for the nearest triple matrix.

引用

页码：343 / 346

页数：4

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